**Article Summary:** "Now it's true that triangles are one of the simplest geometrical
figures, yet they have varied applications. The primary application of trigonometry
is found in scientific studies where precise distances need to be measured.
"

Mathematics is a subject that is vital for gaining a better perspective on events that occur in the natural world. A keen aptitude for math improves critical thinking and promotes problem-solving abilities. One specific area of mathematical and geometrical reasoning is trigonometry which studies the properties of triangles. Now it's true that triangles are one of the simplest geometrical figures, yet they have varied applications. The primary application of trigonometry is found in scientific studies where precise distances need to be measured. The techniques in trigonometry are used for finding relevance in navigation particularly satellite systems and astronomy, naval and aviation industries, oceanography, land surveying, and in cartography (creation of maps). Now those are the scientific applications of the concepts in trigonometry, but most of the math we study would seem (on the surface) to have little real-life application. So is trigonometry really relevant in your day to day activities? You bet it is. Let's explore areas where this science finds use in our daily activities and how we can use this to resolve problems we might encounter. Although it is unlikely that one will ever need to directly apply a trigonometric function in solving a practical issue, the fundamental background of the science finds usage in an area which is passion for many - music! As you may be aware sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means that sound engineers and technologists who research advances in computer music and even hi-tech music composers have to relate to the basic laws of trigonometry.
Trigonometry finds a perfect partner in modern architecture. The beautifully curved surfaces in steel, stone and glass would be impossible if not for the immense potential of this science. So how does this work actually. In fact the flat panels and straight planes in the building are but at an angle to one another and the illusion is that of a curved surface. Neat huh! Digital imaging is another real life application of this marvelous science. Computer generation of complex imagery is made possible by the use of geometrical patterns that define the precise location and color of each of the infinite points on the image to be created. The image is made detailed and accurate by a technique referred to as triangulation. The edges of the triangles that form the image make a wire frame of the object to be created and contribute to a realistic picture. Several imaging technologies that apply the concepts of trigonometry find usage in medicine. The next time you go in for an advanced scanning procedure, be sure to check out how the sine and cosine functions you learn at school find a practical application is medical techniques such as CAT and MRI scanning, in detecting tumors and even in laser treatments. Whoever said studying math has only an academic value! Need other reasons to know how formulae in trigonometry make life easier for you? Now we all use patterns and symmetry in relating to objects around us. For instance there is a need for harmony and symmetrical agreement even if you are just redecorating your home. You need to be sure about angles and positioning when deciding lighting arrangements. And although you won't need to write out sine formulae for this one, you will still be using the basic laws of triangles in deciding the best angle to show off that trendy lamp on your study table!
Did you know that trigonometry is an arty science that can be used to measure the heights of mountains? So why would we want to measure the heights of mountains. Because this information is of great value for aircraft designing and navigation. And if this sounds overly technical think about the time when you last took a vacation at a hill station. You might be surprised how much this information comes in handy to tourists, for example those with medical conditions that prevent them from traveling to very high altitudes. So the nest time you want to go trekking you might want to know the actual altitude you might be traversing. Learning math sure makes us smart and adept at solving tricky situations. From tacking brain-teasers and jigsaws to the more complex crises, the application of basic laws of math and geometry are many. Not only does math provide a strong basis for resolving everyday issues, it undoubtedly helps handle situations with a positive approach. |